Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?

45 sweets.

Step-by-step explanation:

Gavin gets 7(7+3+2) = 7/12 of the sweets.

Dan gets  2 /12  so   Gavin gets 7/2 times as much as Dan

Let Dan get x sweets then

x + 75 = 7x /2

7x/2 - x = 75

5x/2 = 75

x = 75 * 2/5 = 30 sweets.

So Dan gets 30 sweets , Gavin gets 105 sweets and  Colin gets  3/2 * 30

= 45 sweets.

step-by-step explanation:

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step-by-step explanation: